{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 支持向量机（SVM）\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline \n",
    "#为了在notebook中画图展示\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 支持向量基本原理\n",
    "\n",
    "\n",
    "<img src=\"../images/3.png\", width=\"900\">\n",
    "\n",
    "如何解决这个线性不可分问题呢？咱们给它映射到高维来试试\n",
    "\n",
    "$z=x^2+y^2$. \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "## 例子"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\programs\\python\\python38\\lib\\site-packages\\sklearn\\utils\\deprecation.py:143: FutureWarning: The sklearn.datasets.samples_generator module is  deprecated in version 0.22 and will be removed in version 0.24. The corresponding classes / functions should instead be imported from sklearn.datasets. Anything that cannot be imported from sklearn.datasets is now part of the private API.\n",
      "  warnings.warn(message, FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1b76447f910>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#随机来点数据\n",
    "#其中 cluster_std是数据的离散程度\n",
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "X, y = make_blobs(n_samples=50, centers=2,\n",
    "                  random_state=0, cluster_std=0.60)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "随便的画几条分割线，哪个好来这？"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#随便的画几条分割线，哪个好来这？\n",
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "#限制一下X的取值范围\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Support Vector Machines: 最小化 *雷区*\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n",
    "                     color='#AAAAAA', alpha=0.4)\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 训练一个基本的SVM\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(kernel='linear')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#分类任务\n",
    "from sklearn.svm import SVC \n",
    "#线性核函数 相当于不对数据进行变换\n",
    "model = SVC(kernel='linear')\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#绘图函数\n",
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "   \n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    # 用SVM自带的decision_function函数来绘制\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    xy = np.vstack([X.ravel(), Y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(X.shape)\n",
    "    \n",
    "    # 绘制决策边界\n",
    "    ax.contour(X, Y, P, colors='k',\n",
    "               levels=[-1, 0, 1], alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "    \n",
    "    # 绘制支持向量\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300, linewidth=1, alpha=0.2);\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 这条线就是我们希望得到的决策边界啦\n",
    "\n",
    "* 观察发现有3个点做了特殊的标记，它们恰好都是边界上的点\n",
    "\n",
    "* 它们就是我们的*support vectors*（支持向量）\n",
    "\n",
    "* 在Scikit-Learn中, 它们存储在这个位置 ``support_vectors_``（一个属性）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.44359863, 3.11530945],\n",
       "       [2.33812285, 3.43116792],\n",
       "       [2.06156753, 1.96918596]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.support_vectors_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 观察可以发现，只需要支持向量我们就可以把模型构建出来\n",
    "\n",
    "* 接下来我们尝试一下，用不同多的数据点，看看效果会不会发生变化\n",
    "\n",
    "* 分别使用60个和120个数据点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_svm(N=10, ax=None):\n",
    "    X, y = make_blobs(n_samples=200, centers=2,\n",
    "                      random_state=0, cluster_std=0.60)\n",
    "    X = X[:N]\n",
    "    y = y[:N]\n",
    "    model = SVC(kernel='linear', C=1E10)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    ax = ax or plt.gca()\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    ax.set_xlim(-1, 4)\n",
    "    ax.set_ylim(-1, 6)\n",
    "    plot_svc_decision_function(model, ax)\n",
    "# 分别对不同的数据点进行绘制\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "for axi, N in zip(ax, [60, 120]):\n",
    "    plot_svm(N, axi)\n",
    "    axi.set_title('N = {0}'.format(N))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 左边是60个点的结果，右边的是120个点的结果\n",
    "* 观察发现，只要支持向量没变，其他的数据怎么加无所谓！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 引入核函数的SVM\n",
    "* 首先我们先用线性的核来看一下在下面这样比较难的数据集上还能分了吗？\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_circles\n",
    "# 绘制另外一种数据集\n",
    "X, y = make_circles(100, factor=.1, noise=.1)\n",
    "#看看这回线性和函数能解决嘛\n",
    "clf = SVC(kernel='linear').fit(X, y)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf, plot_support=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 坏菜喽，分不了了，那咋办呢？试试高维核变换吧！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#加入了新的维度r\n",
    "from mpl_toolkits import mplot3d\n",
    "r = np.exp(-(X ** 2).sum(1))\n",
    "# 可以想象一下在三维中把环形数据集进行上下拉伸\n",
    "def plot_3D(elev=30, azim=30, X=X, y=y):\n",
    "    ax = plt.subplot(projection='3d')\n",
    "    ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='autumn')\n",
    "    ax.view_init(elev=elev, azim=azim)\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_zlabel('r')\n",
    "\n",
    "plot_3D(elev=45, azim=45, X=X, y=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC()"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#加入高斯核函数\n",
    "clf = SVC(kernel='rbf')\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#这回厉害了！\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf)\n",
    "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
    "            s=300, lw=1, facecolors='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用这种核支持向量机，我们学习一个合适的非线性决策边界。这种核变换策略在机器学习中经常被使用！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 调节SVM参数: Soft Margin问题\n",
    "\n",
    "### 调节C参数\n",
    "* 当C趋近于无穷大时：意味着分类严格不能有错误\n",
    "* 当C趋近于很小的时：意味着可以有更大的错误容忍\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1b764945490>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 这份数据集中cluster_std稍微大一些，这样才能体现出软间隔的作用\n",
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=0.8)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#加大游戏难度的数据集\n",
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=0.8)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "# 选择两个C参数来进行对别实验，分别为10和0.1\n",
    "for axi, C in zip(ax, [10.0, 0.1]):\n",
    "    model = SVC(kernel='linear', C=C).fit(X, y)\n",
    "    axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300, lw=1, facecolors='none');\n",
    "    axi.set_title('C = {0:.1f}'.format(C), size=14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=1.1)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "# 选择不同的gamma值来观察建模效果\n",
    "for axi, gamma in zip(ax, [10.0, 0.1]):\n",
    "    model = SVC(kernel='rbf', gamma=gamma).fit(X, y)\n",
    "    axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300, lw=1, facecolors='none');\n",
    "    axi.set_title('gamma = {0:.1f}'.format(gamma), size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Face Recognition\n",
    "\n",
    "As an example of support vector machines in action, let's take a look at the facial recognition problem.\n",
    "We will use the Labeled Faces in the Wild dataset, which consists of several thousand collated photos of various public figures.\n",
    "A fetcher for the dataset is built into Scikit-Learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1277, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "#读取数据集\n",
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=60)\n",
    "#看一下数据的规模\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot a few of these faces to see what we're working with:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 每个图的大小是 [62×47] \n",
    "* 在这里我们就把每一个像素点当成了一个特征，但是这样特征太多了，用PCA降维一下吧！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.pipeline import make_pipeline\n",
    "\n",
    "#降维到150维\n",
    "pca = PCA(n_components=150, whiten=True, random_state=42)\n",
    "svc = SVC(kernel='rbf', class_weight='balanced')\n",
    "#先降维然后再SVM\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n",
    "                                                random_state=40)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用grid search cross-validation来选择我们的参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 22.2 s\n",
      "{'svc__C': 10, 'svc__gamma': 0.001}\n"
     ]
    }
   ],
   "source": [
    "from sklearn.model_selection import GridSearchCV\n",
    "param_grid = {'svc__C': [1, 5, 10],\n",
    "              'svc__gamma': [0.0001, 0.0005, 0.001]}\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(Xtrain, ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(320,)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = grid.best_estimator_\n",
    "yfit = model.predict(Xtest)\n",
    "yfit.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.88      0.58      0.70        24\n",
      "     Colin Powell       0.70      0.83      0.76        54\n",
      "  Donald Rumsfeld       0.74      0.77      0.75        30\n",
      "    George W Bush       0.89      0.87      0.88       119\n",
      "Gerhard Schroeder       0.80      0.82      0.81        34\n",
      "Junichiro Koizumi       0.92      0.79      0.85        14\n",
      "       Tony Blair       0.76      0.78      0.77        45\n",
      "\n",
      "         accuracy                           0.81       320\n",
      "        macro avg       0.81      0.78      0.79       320\n",
      "     weighted avg       0.82      0.81      0.81       320\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit,\n",
    "                            target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 精度(precision) = 正确预测的个数(TP)/被预测正确的个数(TP+FP)\n",
    "* 召回率(recall)=正确预测的个数(TP)/预测个数(TP+FN)\n",
    "* F1 = 2*精度*召回率/(精度+召回率)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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R99RvwBf8dukad+7c03isAweO0qxpI1xcinrygwbK2bU7VuNxAExMjImN3crOnTH4+w/V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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1cf0ca5a780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true label')\n",
    "plt.ylabel('predicted label');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* 这样显示出来能帮助我们查看哪些人更容易弄混"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
